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A psychology class performed an experiment to compare whether a recall score in which instructions to form images of 25 words were given is better than an initial recall score for which no imagery instructions were given. Twenty students participated in the experiment with the following results: $$ \begin{array}{ccc|ccc} & \text { With } & \text { Without } & & \text { With } & \text { Without } \\\ \text { Student } & \text { Imagery } & \text { Imagery } & \text { Student } & \text { Imagery } & \text { Imagery } \\ \hline 1 & 20 & 5 & 11 & 17 & 8 \\ 2 & 24 & 9 & 12 & 20 & 16 \\ 3 & 20 & 5 & 13 & 20 & 10 \\ 4 & 18 & 9 & 14 & 16 & 12 \\ 5 & 22 & 6 & 15 & 24 & 7 \\ 6 & 19 & 11 & 16 & 22 & 9 \\ 7 & 20 & 8 & 17 & 25 & 21 \\ 8 & 19 & 11 & 18 & 21 & 14 \\ 9 & 17 & 7 & 19 & 19 & 12 \\ 10 & 21 & 9 & 20 & 23 & 13 \end{array} $$ Does it appear that the average recall score is higher when imagery is used?

Short Answer

Expert verified
Answer: Yes, the average recall score appears to be higher when imagery is used, as the mean with imagery (20.5) is higher than the mean without imagery (9.85).

Step by step solution

01

Calculate the mean scores with and without imagery

First, let's add up the scores with and without imagery and divide the sum by the number of students (20) to find the mean scores. With Imagery: (20+24+20+18+22+19+20+19+17+21+17+20+20+16+24+22+25+21+19+23)/20 = 410 Without Imagery: (5+9+5+9+6+11+8+11+7+9+8+16+10+12+7+9+21+14+12+13)/20 = 197 Now, divide these sums by the total number of students to find the mean scores: Mean With Imagery: 410/20 = 20.5 Mean Without Imagery: 197/20 = 9.85
02

Compare the mean scores

Next, compare the mean scores to determine if the average recall score is higher when imagery is used. We have: Mean With Imagery: 20.5 Mean Without Imagery: 9.85 Since the mean with imagery (20.5) is higher than the mean without imagery (9.85), it appears that the average recall score is higher when imagery is used.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Mean Comparison
When comparing mean scores, we aim to understand whether one group performs better than another based on the numerical averages. This involves statistical analysis to determine significant differences in group performance. In a psychological experiment, such as the one conducted by a psychology class, the students' recall scores were analyzed both with and without imagery instructions.

- **Mean With Imagery**: This value derived from summing all scores from the imagery group and then dividing by the number of students. The calculated mean was 20.5.
- **Mean Without Imagery**: Similarly, this mean was calculated from scores without imagery, resulting in 9.85.

By comparing these mean values, it provides insight into whether imagery instructions have a statistically meaningful impact on recall ability. In this case, the higher mean with imagery indicates a likely benefit of the imagery technique.
Psychology Experiment
Experiments in psychology are designed to understand how various factors influence behavior and cognition. This specific psychology experiment involved 20 students and aimed to determine the effect of imagery instructions on memory recall.

- **Experimental Group**: Students who received imagery instructions to form mental images of words they needed to remember.
- **Control Group**: Students who did not receive any imagery instructions.

Through controlled experiments, researchers can observe the influence of specific conditions—in this case, the use of mental imagery—on recall scores. The study structure helps isolate the effect of the variable being tested, making it clear whether the intervention has an impact.
Recall Score
Recall scores measure the ability to retrieve information from memory, crucial in studies examining memory processes. In the experiment, each student had a recall score for both conditions: with and without imagery.

- **Scoring Method**: Students were given 25 words to remember and their ability to recall these was scored. The scores listed in the exercise show how well each participant performed in both conditions.
- **Comparison**: Once scored, the arithmetic mean of scores provides a way to compare the effectiveness of imagery instructions on recall ability.

Thus, the recall score serves as a quantitative measure of memory performance, essential for comparing different educational or cognitive techniques.
Imagery Instructions
Imagery instructions are a cognitive tool used to enhance memory. The idea behind giving students instructions to use imagery is based on research suggesting that forming mental images can improve recall. Here's how it works in the context of the experiment:

- **Visualization**: Students are told to mentally picture each word as vividly as possible. This might involve imagining the word interacting with other objects or experiences.
- **Effectiveness**: According to the results, this method significantly increased recall scores compared to when no such instructions were given.

By incorporating imagery instructions, participants are encouraged to engage multiple senses and regions of the brain, potentially leading to better memory retention.

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Most popular questions from this chapter

At a time when energy conservation is so important, some scientists think closer scrutiny should be given to the cost (in energy) of producing various forms of food. Suppose you wish to compare the mean amount of oil required to produce 1 acre of corn versus 1 acre of cauliflower. The readings (in barrels of oil per acre), based on 20 -acre plots, seven for each crop, are shown in the table. $$ \begin{array}{lc} \text { Corn } & \text { Cauliflower } \\ \hline 5.6 & 15.9 \\ 7.1 & 13.4 \\ 4.5 & 17.6 \\ 6.0 & 16.8 \\ 7.9 & 15.8 \\ 4.8 & 16.3 \\ 5.7 & 17.1 \end{array} $$ a. Use these data to find a \(90 \%\) confidence interval for the difference between the mean amounts of oil required to produce these two crops. b. Based on the interval in part a, is there evidence of a difference in the average amount of oil required to produce these two crops? Explain.

A producer of machine parts claimed that the diameters of the connector rods produced by his plant had a variance of at most .03 inch \(^{2}\). A random sample of 15 connector rods from his plant produced a sample mean and variance of .55 inch and .053 inch \(^{2}\), respectively. a. Is there sufficient evidence to reject his claim at the \(\alpha=.05\) level of significance? b. Find a \(95 \%\) confidence interval for the variance of the rod diameters.

How much sleep do you get on a typical school night? A group of 10 college students were asked to report the number of hours that they slept on the previous night with the following results: $$ \begin{array}{llllllllll} 7, & 6, & 7.25, & 7, & 8.5, & 5, & 8, & 7, & 6.75, & 6 \end{array} $$ a. Find a \(99 \%\) confidence interval for the average number of hours that college students sleep. b. What assumptions are required in order for this confidence interval to be valid?

The EPA limit on the allowable discharge of suspended solids into rivers and streams is 60 milligrams per liter ( \(\mathrm{mg} /\) l) per day. A study of water samples selected from the discharge at a phosphate mine shows that over a long period, the mean daily discharge of suspended solids is \(48 \mathrm{mg} /\), but day-to-day discharge readings are variable. State inspectors measured the discharge rates of suspended solids for \(n=20\) days and found \(s^{2}=39(\mathrm{mg} / \mathrm{I})^{2}\). Find a \(90 \%\) confidence interval for \(\sigma^{2}\). Interpret your results.

Why use paired observations to estimate the difference between two population means rather than estimation based on independent random samples selected from the two populations? Is a paired experiment always preferable? Explain.

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